Advances In Fuzzy Integral And Differential Equations

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Advances in Fuzzy Integral and Differential Equations

Author : Tofigh Allahviranloo
Publisher : Springer Nature
ISBN 13 : 303073711X
Total Pages : 226 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Advances in Fuzzy Integral and Differential Equations by : Tofigh Allahviranloo

Download or read book Advances in Fuzzy Integral and Differential Equations written by Tofigh Allahviranloo and published by Springer Nature. This book was released on 2021-07-25 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the title of the book suggests, the topics of this book are organized into two parts. The first part points out the fuzzy differential equations and the second one is related to the fuzzy integral equations. The book contains nine chapters that six chapters are about fuzzy differential equations and three of them are about fuzzy integral equations. In each part, the chapters’ authors are going to discuss the topics theoretically and numerically. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit from the subjects of the book.

Recent Advances in Intuitionistic Fuzzy Logic Systems

Author : Said Melliani
Publisher : Springer
ISBN 13 : 3030021556
Total Pages : 320 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Recent Advances in Intuitionistic Fuzzy Logic Systems by : Said Melliani

Download or read book Recent Advances in Intuitionistic Fuzzy Logic Systems written by Said Melliani and published by Springer. This book was released on 2018-10-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. It covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations. It reports on applications such as fuzzy real time scheduling, intelligent control, diagnostics and time series prediction. Chapters were carefully selected among contributions presented at the second edition of the International Conference on Intuitionistic Fuzzy Sets and Mathematical Science, ICIFSMAS, held on April 11-13, 2018, at Al Akhawayn University of Ifrane, in Morocco.

Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

Author : Said Melliani
Publisher : Springer Nature
ISBN 13 : 3030539296
Total Pages : 285 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics by : Said Melliani

Download or read book Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics written by Said Melliani and published by Springer Nature. This book was released on 2020-10-12 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.

Fuzzy Partial Differential Equations and Relational Equations

Author : Masoud Nikravesh
Publisher : Springer
ISBN 13 : 3540396756
Total Pages : 362 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Fuzzy Partial Differential Equations and Relational Equations by : Masoud Nikravesh

Download or read book Fuzzy Partial Differential Equations and Relational Equations written by Masoud Nikravesh and published by Springer. This book was released on 2013-04-17 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: During last decade significant progress has been made in the oil indus try by using soft computing technology. Underlying this evolving technology there have, been ideas transforming the very language we use to describe problems with imprecision, uncertainty and partial truth. These developments offer exciting opportunities, but at the same time it is becoming clearer that further advancements are confronted by funda mental problems. The whole idea of how human process information lies at the core of the challenge. There are already new ways of thinking about the problems within theory of perception-based information. This theory aims to understand and harness the laws of human perceptions to dramatically im prove the processing of information. A matured theory of perception-based information is likely to be proper positioned to contribute to the solution of the problems and provide all the ingredients for a revolution in science, technology and business. In this context, Berkeley Initiative in Soft Computing (BISC), Univer sity of California, Berkeley from one side and Chevron-Texaco from another formed a Technical Committee to organize a Meeting entitled "State of the Art Assessment and New Directions for Research" to understand the signifi cance of the fields accomplishments, new developments and future directions. The Technical Committee selected and invited 15 scientists (and oil indus try experts as technical committee members) from the related disciplines to participate in the Meeting, which took place at the University of California, Berkeley, and March 15-17, 2002.

Fuzzy Fractional Differential Operators and Equations

Author : Tofigh Allahviranloo
Publisher : Springer Nature
ISBN 13 : 303051272X
Total Pages : 303 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Fuzzy Fractional Differential Operators and Equations by : Tofigh Allahviranloo

Download or read book Fuzzy Fractional Differential Operators and Equations written by Tofigh Allahviranloo and published by Springer Nature. This book was released on 2020-06-15 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require. Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been addressed briefly in previous papers, this book represents the first comprehensive collection of all relevant explanations. Most of the real problems in the biological and engineering sciences involve dynamic models, which are defined by fuzzy fractional operators in the form of fuzzy fractional initial value problems. Another important goal of this book is to solve these systems and analyze their solutions both theoretically and numerically. Given the content covered, the book will benefit all researchers and students in the mathematical and computer sciences, but also the engineering sciences.

Fuzzy Differential Equations in Various Approaches

Author : Luciana Takata Gomes
Publisher : Springer
ISBN 13 : 3319225758
Total Pages : 130 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Fuzzy Differential Equations in Various Approaches by : Luciana Takata Gomes

Download or read book Fuzzy Differential Equations in Various Approaches written by Luciana Takata Gomes and published by Springer. This book was released on 2015-09-07 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh’s extension. Through a unique analysis, results of all these theories are examined and compared.

Theory of Fuzzy Differential Equations and Inclusions

Author : V. Lakshmikantham
Publisher : CRC Press
ISBN 13 : 9780203011386
Total Pages : 192 pages
Book Rating : 4.0/5 (113 download)

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Book Synopsis Theory of Fuzzy Differential Equations and Inclusions by : V. Lakshmikantham

Download or read book Theory of Fuzzy Differential Equations and Inclusions written by V. Lakshmikantham and published by CRC Press. This book was released on 2004-11-23 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.

Advances in Differential and Difference Equations with Applications 2020

Author : Dumitru Baleanu
Publisher : MDPI
ISBN 13 : 3039368702
Total Pages : 348 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Advances in Differential and Difference Equations with Applications 2020 by : Dumitru Baleanu

Download or read book Advances in Differential and Difference Equations with Applications 2020 written by Dumitru Baleanu and published by MDPI. This book was released on 2021-01-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

Fuzzy Differential Equations and Applications for Engineers and Scientists

Author : S. Chakraverty
Publisher : CRC Press
ISBN 13 : 1315355531
Total Pages : 138 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Fuzzy Differential Equations and Applications for Engineers and Scientists by : S. Chakraverty

Download or read book Fuzzy Differential Equations and Applications for Engineers and Scientists written by S. Chakraverty and published by CRC Press. This book was released on 2016-11-25 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique work?provides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.

Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization

Author : Said Melliani
Publisher : Springer Nature
ISBN 13 : 3031124162
Total Pages : 496 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization by : Said Melliani

Download or read book Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization written by Said Melliani and published by Springer Nature. This book was released on 2022-08-10 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe in this book recent advances in fuzzy sets theory, fractional calculus, dynamic systems, and optimization. The book provides a setting for the discussion of recent developments in a wide variety of topics including partial differential equations, dynamic systems, optimization, numerical analysis, fuzzy sets theory, fractional calculus, and its applications. The book is aimed at bringing together contributions from leading academic scientists, researchers, and research scholars to exchange and share their experiences and research results on all aspects of applied mathematics, modeling, algebra, economics, finance, and applications. It also provides an interdisciplinary platform for researchers, practitioners, and educators to present the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of applied mathematics. The published chapters address various aspects of academic scientists, researchers, and research scholars in many variety mathematical topics.

Fuzzy Mathematics in Economics and Engineering

Author : James J. Buckley
Publisher : Physica
ISBN 13 : 9783662003268
Total Pages : 272 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Fuzzy Mathematics in Economics and Engineering by : James J. Buckley

Download or read book Fuzzy Mathematics in Economics and Engineering written by James J. Buckley and published by Physica. This book was released on 2014-03-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at surveying results in the application of fuzzy sets and fuzzy logic to economics and engineering. New results include fuzzy non-linear regression, fully fuzzified linear programming, fuzzy multi-period control, fuzzy network analysis, each using an evolutionary algorithm; fuzzy queuing decision analysis using possibility theory; fuzzy differential equations; fuzzy difference equations; fuzzy partial differential equations; fuzzy eigenvalues based on an evolutionary algorithm; fuzzy hierarchical analysis using an evolutionary algorithm; fuzzy integral equations. Other important topics covered are fuzzy input-output analysis; fuzzy mathematics of finance; fuzzy PERT (project evaluation and review technique). No previous knowledge of fuzzy sets is needed. The mathematical background is assumed to be elementary calculus.

Advances in Differential and Integral Equations

Author : John A. Nohel
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Advances in Differential and Integral Equations by : John A. Nohel

Download or read book Advances in Differential and Integral Equations written by John A. Nohel and published by . This book was released on 1969 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics

Author : Laécio Carvalho de Barros
Publisher : Springer
ISBN 13 : 3662533243
Total Pages : 304 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics by : Laécio Carvalho de Barros

Download or read book A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics written by Laécio Carvalho de Barros and published by Springer. This book was released on 2016-09-13 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an essential introduction to the field of dynamical models. Starting from classical theories such as set theory and probability, it allows readers to draw near to the fuzzy case. On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems. On the other, it demonstrates how these theories are used to solve modeling problems in biomathematics, and presents existing derivatives and integrals applied to the context of fuzzy functions. Each of the major topics is accompanied by examples, worked-out exercises, and exercises to be completed. Moreover, many applications to real problems are presented. The book has been developed on the basis of the authors’ lectures to university students and is accordingly primarily intended as a textbook for both upper-level undergraduates and graduates in applied mathematics, statistics, and engineering. It also offers a valuable resource for practitioners such as mathematical consultants and modelers, and for researchers alike, as it may provide both groups with new ideas and inspirations for projects in the fields of fuzzy logic and biomathematics.

A Differential and Integral Calculus for Fuzzy Mappings and Fuzzy Differential Equations

Author : Osmo Kaleva
Publisher :
ISBN 13 : 9789517209212
Total Pages : pages
Book Rating : 4.2/5 (92 download)

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Book Synopsis A Differential and Integral Calculus for Fuzzy Mappings and Fuzzy Differential Equations by : Osmo Kaleva

Download or read book A Differential and Integral Calculus for Fuzzy Mappings and Fuzzy Differential Equations written by Osmo Kaleva and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Numerical and Semi-Analytical Methods for Differential Equations

Author : Snehashish Chakraverty
Publisher : John Wiley & Sons
ISBN 13 : 1119423430
Total Pages : 265 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Advanced Numerical and Semi-Analytical Methods for Differential Equations by : Snehashish Chakraverty

Download or read book Advanced Numerical and Semi-Analytical Methods for Differential Equations written by Snehashish Chakraverty and published by John Wiley & Sons. This book was released on 2019-04-10 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs This student-friendly book deals with various approaches for solving differential equations numerically or semi-analytically depending on the type of equations and offers simple example problems to help readers along. Featuring both traditional and recent methods, Advanced Numerical and Semi Analytical Methods for Differential Equations begins with a review of basic numerical methods. It then looks at Laplace, Fourier, and weighted residual methods for solving differential equations. A new challenging method of Boundary Characteristics Orthogonal Polynomials (BCOPs) is introduced next. The book then discusses Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM), and Boundary Element Method (BEM). Following that, analytical/semi analytic methods like Akbari Ganji's Method (AGM) and Exp-function are used to solve nonlinear differential equations. Nonlinear differential equations using semi-analytical methods are also addressed, namely Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM), and Homotopy Analysis Method (HAM). Other topics covered include: emerging areas of research related to the solution of differential equations based on differential quadrature and wavelet approach; combined and hybrid methods for solving differential equations; as well as an overview of fractal differential equations. Further, uncertainty in term of intervals and fuzzy numbers have also been included, along with the interval finite element method. This book: Discusses various methods for solving linear and nonlinear ODEs and PDEs Covers basic numerical techniques for solving differential equations along with various discretization methods Investigates nonlinear differential equations using semi-analytical methods Examines differential equations in an uncertain environment Includes a new scenario in which uncertainty (in term of intervals and fuzzy numbers) has been included in differential equations Contains solved example problems, as well as some unsolved problems for self-validation of the topics covered Advanced Numerical and Semi Analytical Methods for Differential Equations is an excellent text for graduate as well as post graduate students and researchers studying various methods for solving differential equations, numerically and semi-analytically.

Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery

Author : Hongying Meng
Publisher : Springer Nature
ISBN 13 : 3030706656
Total Pages : 1925 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery by : Hongying Meng

Download or read book Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery written by Hongying Meng and published by Springer Nature. This book was released on 2021-06-26 with total page 1925 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of papers on the recent progresses in the state of the art in natural computation, fuzzy systems and knowledge discovery. The book is useful for researchers, including professors, graduate students, as well as R & D staff in the industry, with a general interest in natural computation, fuzzy systems and knowledge discovery. The work printed in this book was presented at the 2020 16th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2020), held in Xi'an, China, from 19 to 21 December 2020. All papers were rigorously peer-reviewed by experts in the areas.

Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery

Author : Yong Liu
Publisher : Springer Nature
ISBN 13 : 3030324567
Total Pages : 1004 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery by : Yong Liu

Download or read book Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery written by Yong Liu and published by Springer Nature. This book was released on 2019-11-06 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the recent advances in natural computation, fuzzy systems and knowledge discovery. Presenting selected, peer-reviewed papers from the 15th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2019), held in Kunming, China, from 20 to 22 July 2019, it is a useful resource for researchers, including professors and graduate students, as well as R&D staff in industry.